Carl is boarding a plane. He has 2 checked bags of equal weight and a backpack that weighs 4 kg. The total weight of Carl's baggage is 35kg
Write an equation to determine the weight, w, of each of Carl's checked bags.
And the weight of each of Carl's check bags

Answers

Answer 1

Answer:

(35 - 4)/2 = w and 15.5kg

Step-by-step explanation:

To get the weight of both bags you would have to first subtract the backpack's weight from the total weight. 35 - 4 = 31. Now divide by 2 to get the weight of one bag. 31/2 = 15.5. Each bag weighs 15.5 kg


Related Questions

To get rid of a negative exponent, move the part with the negative exponent to the other side of the_________(blank)

Answers

Answer:

fraction

Step-by-step explanation:

If you have a negative exponent, such as [tex]x^{-2}[/tex], that can also be written as [tex]\frac{x^{-2} }{1}[/tex]

by moving the exponent (and it's base) to the denominator (the other side of the fraction, since it's in the numerator), you make the exponent positive: [tex]\frac{1}{x^{2} }[/tex]

Abox of cereal states that there are 81 calories in a
4-cup serving. What is the unit rate for calories
per cup? How many calories are there in 4 cups of the cereal?

Answers

Answer:

20.25 per cup because 81÷4= 20.25 then

1) read the label=81 per 4-cups

2) 20.25x4=82 calories

Step-by-step explanation:

hope this helps :D

The perpendicular bisectors of triangle RST intersect at K. Find KR

Answers

Answer:

Step-by-step explanation:

Remark

The diagram is a mess of lines; you have to guess where that 12 belongs. Just to make the question a bit more interesting, I'm going to say the 12 belongs to the perpendicular.

If that's true you can find KT using Pythagorus. KT and RT are equal. (SSS)

So, let's go.

Givens

1/2 of ST = 1/2 32 = 16

12 is the leg of the small triangle KT and the third point where the perpenduclar line meets ST.

Solution

KT^2 = 16^2 + 12^2

KT^2 = 256 + 144

KT^2 = 400

KT = sqrt(400)

KT = 20

RK = KT because parts of a congruent triangle = parts of the other triangle containing the line (KT) that you are trying to find the length of.

Mike is recording his baby sister's weight in pounds and ounces each week. This week she weighs 10 pounds. How many ounces does she weigh?

Answers

Answer:

160 ounces

Step-by-step explanation:

In each pound, there are 16 ounces.

Therefore we can do 10*16=160

Answer: she weighs 160 ounces. just do 10x16

If 500 calories adds 1 pound to your weight how many 1000 calorie banana splits would you need to eat to gain 10 pounds

Answers

500cal=1lb
1000cal=2lbs
2x5=10
1000x5=5000
Answer: 10 banana splits

Answer: 5

Step-by-step explanation:

each banana split is equal to 2 lbs. therefore, to gain 10 lbs. you need to eat 5 banana splits.

500cal = 1 lb.

1000cal = 1 banana split

1 banana split = 2lbs.

to gain 10lbs, divide 10lbs by 2lbs = 5 banana splits

Which equation is represented by the line

Answers

Answer:

First, we need to find the slope of this line.

Slope is defined as rise over run, or change in y over change in x. We find two  points on this line, and see that the slope is -4.

Then, we find the y-intercept, which in this case is 0.

Using slope intercept form, our answer is y=-4x

Let me know if this helps!

Answer:

y=-4x

Step-by-step explanation:

so the line goes down 4 evey 1 right so the slope is -4 and it goes through the y axis at 0 so the y intercoept is 0

Under his cell phone plan, Parker pays a flat cost of $36.50 per month and $5 per gigabyte. He wants to keep his bill under $45 per month. Write and solve an inequality which can be used to determine gg, the number of gigabytes Parker can use while staying within his budget.

Answers

Answer:  Parker can use 1.7 gigabytes to stay within his budget.

Step-by-step explanation:

If Parker pays a  flat cost of $36.50 and has to pay $5 a month then we can represent it by the  36.50 + 5gg  where gg is the number of gigabytes.

If  he has to keep his bill under $45 , then 36.50 + 5gg has to be less than 45.

36.50 + 5gg < 45.   Now solve for gg

-36.50             36.50

   5gg < 8.5

  gg< 1.7

64+66-43x33/89x34/09=

Answers

Answer: -4293764

Step-by-step explanation:

Answer:69,78

Step-by-step explanation: 43*33=1,419

1,419/89=15,94

15,94*34=541,96

541,96/09=60,22

64+66=130

130-60.22=69,78

8.88=-2.22(x-7)
what is x

Answers

Answer:

x=3

Step-by-step explanation:

Let's solve your equation step-by-step.

8.88=−2.22(x−7)

Step 1: Simplify both sides of the equation.

8.88=−2.22(x−7)

8.88=(−2.22)(x)+(−2.22)(−7)    (Distribute)

8.88=−2.22x+15.54

Step 2: Flip the equation.

−2.22x+15.54=8.88

Step 3: Subtract 15.54 from both sides.

−2.22x+15.54−15.54=8.88−15.54

−2.22x=−6.66

Step 4: Divide both sides by -2.22.

−2.22x /−2.22

=

−6.66 /−2.22

x=3


Find 28% of 85
Plz help

Answers

Answer:

23 4/5

Step-by-step explanation:

28% of 85 is:

28/100 x 85 = 2380/100 = 238/10 = 119/5 = 23 4/5

Answer:

23.8

Step-by-step explanation:

28% times 85= 23.8

A phone company uses the equation y 0.15x10 to find y, the monthly charge for a customer sending x text messages. How many text messages are sent if the monthly charge is $77507
A: 10
B: 21
C: 450
D: 506

Answers

Answer:21

Step-by-step explanation:

21

what is the appoximate distance between T and U? round your answer to the nearest hundreth

Answers

Answer: 3.16


The first point, T = (x1,y1), and the second point, U = (x2,y2). Can be approximated as 3.16,so the distance between the two points is 3.16 units.

what value of x makes the equation 6x - 10 = -10 true

a -3 1/3
b 0
c 5
d 8 1/3

Answers

the value of x that makes the equation true is b(0)

Use the grid below to name the point at (4,3)

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

In the point (4,3), the 4 is x and 3 is y. The x-axis is the bottom line so go up 4 and the vertical line is the y-axis so go right 3. The point where they meet is B.

Hope it helps!

Question :

Two cargo ships spot a signal fire on a small island. The captains know they are 140 feet

away from each other and using angle measuring device they can determine the angle from

each of their ships to the signal fire. The angle at ship A is 82º and the angle at ship B is 78º.

How far is it from Ship B to the signal fire at point C?

Hint: Use Law of Sines:

sin A = simb = sin

82

140 it

A(48.9) b(400.4) C(405.3) D(673.4)

Answers

Answer:

C) 405.3 ft

Step-by-step explanation:

A triangle is a polygon with three angles and three sides. Types of triangle are scalene, isosceles, equilateral, right angled triangle.

Given a triangle with angles A, B, C and the corresponding sides directly opposite to the angles as a, b, c. The sine rule states that:

[tex]\frac{a}{sin(A)}= \frac{b}{sin(B)} =\frac{c}{sin(C)}[/tex]

In the triangle formed by point C, ship B and ship A, we have ∠A = 82°, ∠B = 78°, c = AB = 140 ft. Hence:

∠A + ∠B + ∠C = 180° (sum of angles in a triangle)

82 + 78 + ∠C = 180

∠C + 160 = 180

∠C = 20°

Using sine rule:

[tex]\frac{c}{sin(C)}=\frac{a}{sin(A)}\\\\\frac{140}{sin(20)}=\frac{a}{sin(82)}\\\\a= \frac{140*sin (82)}{sin(20)}\\\\a=405.3\ ft[/tex]

a =  distance from Ship B to the signal fire at point C

explain what a variable is.

Answers

Answer:

A variable is a quantity that may change within the context of a mathematical problem or experiment. Typically, we use a single letter to represent a variable. The letters x, y, and z are common generic symbols used for variables.

Step-by-step explanation:

in other words is like x,y,z or any other letters

A variable is a quantity that may change within the context of a mathematical problem or experiment. Typically, we use a single letter to represent a variable. The letters x, y, and z are common generic symbols used for variables. Sometimes, we will choose a letter that reminds us of the quantity it represents, such as t for time, v for voltage,b for bacteria

NEEEED HELP!!!!!!!!!

Answers

Answer:

1/3 is your awnser also what ur name in prodigy ill play with u im level 100

Step-by-step explanation:

Answer:

[tex] \frac{2}{5} + \: x = \frac{11}{15} [/tex]

5.3=15

2.3=6

[tex] \frac{6}{15} + \frac{5}{15} [/tex]

what is the simplest form of 874/942

Answers

Answer:

437/471

Step-by-step explanation:

would consider downloading photomath

There are 10 coins on a table heads side up. Noah wants them all to be tails side up, but with each move, he must turn over exactly
6 coins. What is the fewest moves he can take so that he ends up with all of the coins tails side up?

Answers

Answer:

2 moves

Step-by-step explanation:

2 moves ok?!?! Dhsgbcc

there are 63 boys in sixth grade. the number of girls in the sixth grade is 56. Shelby says that means the ratio of the number of boys to the number of girls in sixth grade is 9:7. is Shelby correct. use a tape diagram, to support your answer.

Answers

Answer:

Yes, Shelby is correct.

Step-by-step explanation:

Basically, if you divide 63 by 9 you get 7, and if you divide 56 by 7 you get eight, so yah.

A plumber chargers a fee of $75 plus $30 per hour on the job. Make a table of values for the total charge depending on the number of hours the plumber works. Determine if this can be defined by a linear or an exponential function. What is the function?
a. Linear: T=30+75h
b. Exponential: T=75(30)^h
c. Exponential: T=30(75)^h
d. Linear: T=75+30h

Answers

Answer:

d

Step-by-step explanation:

It is going at a steady rate of 30$ an hour

Total charges of the plumber depending on the number of hours he works is defined by the linear function T = 75 + 30h.

What is linear functions?

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable.

Learn more about linear function here

https://brainly.com/question/21107621

#SPJ2

What is the maximum value of the picture below?

Answers

Answer:

y = 4

Step-by-step explanation:

The maximum value occurs at the vertex

vertex = (2, 4 )

when x = 2 the maximum value is y = 4

Elenista made an estimate that the angle below was about 170°.
Why did her estimate not correctly describe the angle
measurement?
HELPP MEEE PLSSS PLSS:(

Answers

Answer:

C. The estimate is too large

My bad, wasn't looking at it carefully. The angle seems to be close to 90° than 180°.

Answer:

i believe the answer would be B

Step-by-step explanation:

the dataset below represents the heights of trees(in inches) 13, 82, 83, 95, 92, 98, 96. How many outliers are in this data set?

Answers

Answer:

3

Step-by-step explanation:

There are 3 outliers. 13, 82, 83. These outliers are marginally off by the rest of the set.

There is one outlier in the data. The value of outlier is 13.

What is an outlier?

An outlier is an observation that lies an abnormal distance from other values in a random sample from a population. It is a value that "lies outside" (is much smaller or larger than) most of the other values in a set of data. The outliers can be found from median and quartile range.

For the given situation,

The heights of trees(in inches) are 13, 82, 83, 95, 92, 98, 96.

Arrange them in ascending order,

⇒ [tex]13, 82, 83, 92, 95, 96, 98[/tex]

Here, median = 95

So, first quartile Q₁ = 82

third quartile, Q₃ = 96

Interquartile range, IQR = Q₃ - Q₁

⇒ [tex]96-82[/tex]

⇒ [tex]14[/tex]

Now, [tex]IQR(1.5)=14(1.5)[/tex]

⇒ [tex]21[/tex]

Then, high value = Q₃+1.5 IQR

⇒ [tex]96+21[/tex]

⇒ [tex]117[/tex]

Low value = Q₁-1.5 IQR

⇒ [tex]82-21[/tex]

⇒ [tex]61[/tex]

From the data, the value of outlier should lie less than 61 and greater than 117.

Hence we can conclude that there is one outlier in the data. The value of outlier is 13.

Learn more about outliers here

https://brainly.com/question/3253658

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Parallelogram P Q S R is shown. The length of P Q is (2 x + 5) centimeters and the length of R S is (4 x + 1) centimeters. In parallelogram PQSR, what is PQ? 2 cm 5 cm 6 cm 9 cm

Answers

Answer:

9cm

Step-by-step explanation:

Opposite sides of a parallelogram are parallel (congruent). This shows that

PQ = RS

2x+5 = 4x+1

2x-4x = 1-5

-2x = -4

x = -4/-2

x = 2

Get PQ

PQ = 2x+5

PQ = 2(2)+5

PQ = 4+5

PQ = 9cm

Answer:

9cm

Step-by-step explanation:

I just took the review and I got a 100%

someone please help i will mark you brainliest​

Answers

f (x) = (x-1) (x+3)..........................................less the periods

Area of B patios a.74.42. B.37.21. C.144

Answers

○=> Correct option :[tex]\color{hotpink}\tt\bold{(a)\ \: 74.42}[/tex]○=> Steps to derive correct option :

Length of side of patio A = 12 yards

Area of patio A which is a square :

[tex] =\tt side \times side[/tex]

[tex] =\tt 12 \times 12[/tex]

[tex]\color{plum} = \tt144 \: {yards}^{2} [/tex]

Thus, Area of patio A = 144 yards²

Length of side of patio B = 6.1 yards

Area of patio B which is a square :

[tex] =\tt side \times side[/tex]

[tex] = \tt6.1 \times 6.1[/tex]

[tex]\color{plum} = \tt37.21 \: {yards}^{2} [/tex]

Length of side of the second patio B = 6.1 yards

Area of this patio :

[tex] =\tt 6.1 \times 6.1[/tex]

[tex]\color{plum} = \tt37.21 \: yards[/tex]

Total area of Patio B :

= Area of first patio B + Area of second patio B

[tex] =\tt 37.21 + 37.21[/tex]

[tex]\color{plum} = \tt74.42 \: {yards}^{2} [/tex]

Thus :

▪︎Area of patio A = 144 yards²

▪︎Area of patio B = 74.42 yards²

▪︎Therefore, the correct option is (a) 74.42

make t the subject of the formula. s= 8t +5​

Answers

Answer:

So I am assuming that you are wanting what a single t is. Well, here you go.

t=(s-5)/8

Step-by-step explanation:

8t=s-5

t=(s-5)/8

Hope this helps! ;)

If you had 25 red marbles and 50 green marbles. How many more green marbles would you have to add so the ratio is 1red marble to every 6 green marbles?

Answers

Answer:

150

Step-by-step explanation:

25:50 is the same 1:2 so if you multiply 2x3 you get so 6 same as 50x3 which is 150

The answer is 100 more green marbles

The RADIUS of the barrel is 9.5.

What is the circumference of the barrel?

Answers

Answer:

19

Step-by-step explanation:

D=2r

D = 2(9.5)

   = 19

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